Everytime SQL Server starts, it recreates the tempdb database. So, the creation date and time of the tempdb database tells us the date and time at which SQL Server service started. This information is stored in the crdate column of the sysdatabases table in master database. Here's the query to find that out:
SELECT crdate AS 'SQL Server service started approximately at:'
FROM master.dbo.sysdatabases WHERE name = 'tempdb'
SQL Server error log also has this information (This is more accurate) and the error log can be queried using xp_readerrorlog
SELECT crdate AS 'SQL Server service started approximately at:'
FROM master.dbo.sysdatabases WHERE name = 'tempdb'
SQL Server error log also has this information (This is more accurate) and the error log can be queried using xp_readerrorlog